Free-electron interactions with photonic GKP states: error correction and universal quantum computation

Even-Haim, Shiran; Baranes, Gefen; Ruimy, Ron; Gorlach, Alexey; Dahan, Raphael; Diringer, Asaf A.; Hacohen-Gourgy, Shay; Kaminer, Ido

doi:10.1364/cleo_fs.2023.fm3a.6

Cleo 2023 2023

DOI: 10.1364/cleo_fs.2023.fm3a.6

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Free-electron interactions with photonic GKP states: error correction and universal quantum computation

Shiran Even-Haim

Gefen Baranes

Ron Ruimy

et al.

Abstract: We find that interactions of coherently-shaped free electrons with photons enable universal quantum computation and error correction with GKP qubits. The electron can entangle multiple GKP qubits, creating GHZ and cluster states.

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Jaynes-Cummings interaction between low-energy free electrons and cavity photons

Karnieli

Fan

2023

Sci. Adv.

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The Jaynes-Cummings Hamiltonian is at the core of cavity quantum electrodynamics; however, it relies on bound-electron emitters fundamentally limited by the binding Coulomb potential. In this work, we propose theoretically a new approach to realizing the Jaynes-Cummings model using low-energy free electrons coupled to dielectric microcavities and exemplify several quantum technologies made possible by this approach. Using quantum recoil, a large detuning inhibits the emission of multiple consecutive photons, effectively transforming the free electron into a few-level system coupled to the cavity mode. We show that this approach can be used for generation of single photons, photon pairs, and even a quantum SWAP gate between a photon and a free electron, with unity efficiency and high fidelity. Tunable by their kinetic energy, quantum free electrons are inherently versatile emitters with an engineerable emission wavelength. Hence, they pave the way toward new possibilities for quantum interconnects between photonic platforms at disparate spectral regimes.

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Jaynes-Cummings interaction between low-energy free electrons and cavity photons

Karnieli

Fan

2023

Sci. Adv.

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show abstract

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Free-electron interactions with photonic GKP states: error correction and universal quantum computation

Abstract: We find that interactions of coherently-shaped free electrons with photons enable universal quantum computation and error correction with GKP qubits. The electron can entangle multiple GKP qubits, creating GHZ and cluster states.

Cited by 1 publication

References 11 publications

Jaynes-Cummings interaction between low-energy free electrons and cavity photons

Jaynes-Cummings interaction between low-energy free electrons and cavity photons

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